Question

S
1
33. X+Y > U+V and Y+U>X+V, then it is
definite that-
(a) V>Y
(b) X>V
Y>V
(d) U>V
1

Answer 1

Answer:

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Answer 2

Answer:

Option d) U > V

Step-by-step explanation:

v=x+y⟹x=v−y

u=xy⟹x=uy=uv−y

So we have:

v−y=uy∣⋅y

vy−y2=u∣−(vy−y2)

y2−vy+u=0∣ complete square

(y−v2)2−v24+u=0∣ shuffle

(y−v2)2=u−v24∣√

y−v2=±u−v24−−−−−√∣+v2

y=v2±u−v24−−−−−√

And since we have

x=v−y

we have:

x=v2∓u−v24

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